# Case Study: Descriptive Statistics

*Register to read the introduction…*List the probability value for each possibility in the binomial experiment that was calculated in MINITAB with the probability of a success being ½. (Complete sentence not necessary)

P(x=0) P(x=6)

P(x=1) P(x=7)

P(x=2) P(x=8)

P(x=3) P(x=9)

P(x=4) P(x=10)

P(x=5)

4. Give the probability for the following based on the MINITAB calculations with the probability of a success being ½. (Complete sentence not necessary)

P(x?1) P(x<0) P(x>1) P(x?4)

P(4 5. Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ½. Either show work or explain how your answer was calculated. Mean = np, Standard Deviation =

Mean:

Standard deviation:

6. Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ¼ and compare to the results from question 5. Mean = np, Standard Deviation =

Mean:

Standard deviation:

Comparison:

7. Calculate the mean and standard deviation (by hand) for the MINITAB created binomial distribution with the probability of a success being ¾ and compare to the results from question 6. Mean = np, Standard Deviation =

8. Explain why the coin variable from the class survey represents a binomial

*…show more content…*

We also want to calculate the median for the 10 rolls of the die. Label the next column in the Worksheet with the word median. Repeat the above steps but select the radio-button that corresponds to Median and in the Store results in: text area, place the median column.

Calculating Descriptive Statistics

? Calculate descriptive statistics for the mean and median columns that where created above. Pull up Stat > Basic Statistics > Display Descriptive Statistics and set Variables: to mean and median. The output will show up in your Session Window. Print this information.

Calculating Confidence Intervals for one Variable

? Open the class survey results that were entered into the MINITAB worksheet.

? We are interested in calculating a 95% confidence interval for the hours of sleep a student gets. Pull up Stat > Basic Statistics > 1-Sample t and set Samples in columns: to Sleep. Click the OK button and the results will appear in your Session Window.

? We are also interested in the same analysis with a 99% confidence interval. Use the same steps except select the Options button and change the Confidence level: to 99.

MATH 221 FINAL